Results 21 to 30 of about 1,181,812 (292)
Solution of Nonlinear Fredholm Integral Equations on Almost Z⊥-Contraction
Journal of Mathematics, 2023 In this manuscript, we develop an orthogonal to basically Z-contraction and demonstrate various fixed point theorems of nonlinear Fredholm integral equation solutions in such a contraction. By using these ideas of discovering the fixed point theorems, we
Gunasekaran Nallaselli +4 more
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Neural Stochastic Contraction Metrics for Learning-based Control and Estimation [PDF]
, 2021 We present Neural Stochastic Contraction Metrics (NSCM), a new design framework for provably-stable learning-based control and estimation for a class of stochastic nonlinear systems.
Chung, Soon-Jo +3 more
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Entropies for severely contracted configuration space
Heliyon, 2015 We demonstrate that dual entropy expressions of the Tsallis type apply naturally to statistical–mechanical systems that experience an exceptional contraction of their configuration space.
G. Cigdem Yalcin +2 more
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Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations with mixed-type boundary value conditions [PDF]
, 2018 In this article, we study a class of nonlinear fractional differential equations with mixed-type boundary conditions. The fractional derivatives are involved in the nonlinear term and the boundary conditions. By using the properties of the Green function,
Kong, Debin +3 more
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On weakly nonlinear contractions [PDF]
Kodai Mathematical Journal, 1983 The author generalizes some known fixed point theorems to cone-valued metric spaces. The main theorem reads as follows: Theorem. Let \((X,d)\) be a complete, convex, \(K\)-metric space (where \(K\) denotes a strongly normed cone in a reflexive Banach space \(E\)) and \(S\) a non-empty closed subset of \(X\) such that for each \(x\in S\), there exists ...
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Factorizations and partial contraction of nonlinear systems [PDF]
Proceedings of the 2010 American Control Conference, 2010 In this paper, we introduce new results in the analysis of convergence of nonlinear systems. The point of view we take is the one of contraction theory and we focus in particular on convergence to smooth manifolds. A main characteristic of contraction theory is that it does not require nor use any knowledge about the asymptotic trajectory of the system.
Slotine, Jean-Jacques E. +1 more
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Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
Journal of Inequalities and Applications, 2010 We deal with the well-posedness for solutions of nonlinear integrodifferential equations of second-order in Hilbert spaces by converting the problem into the contraction mapping principle with more general conditions on the principal operators and the ...
Dong-Gun Park +2 more
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Abstract and Applied Analysis, 2011 Berinde and Borcut (2011), introduced the concept of tripled fixed point for single mappings in partially ordered metric spaces. Samet and Vetro (2011) established some coupled fixed point theorems for multivalued nonlinear contraction mappings in ...
Mujahid Abbas +2 more
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Mathematics, 2019 In this paper, we obtain coupled fixed point results for F-contraction mapping satisfying a nonlinear contraction condition in the framework of complete metric space without and with a directed graph. As applications of our results, we study a problem of
Hasanen Abuelmagd Hammad +1 more
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Advances in Difference Equations, 2020 In this paper, we introduce the notion of an α–ζ̃– –Pata contraction that combines well-known concepts, such as the Pata contraction, the E-contraction and the simulation function.
Erdal Karapinar +2 more
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